Solve \( 3x + 5 = 2(x + 4) \).

To solve the equation ( 3x + 5 = 2(x + 4) ), we first need to simplify and isolate ( x ).

1. Start by distributing the 2 on the right side:

[

2(x + 4) = 2x + 8

]

Now the equation looks like this:

[

3x + 5 = 2x + 8

]

2. Next, we want to isolate ( x ) by getting all terms involving ( x ) on one side and the constant terms on the other. Subtract ( 2x ) from both sides:

[

3x - 2x + 5 = 8

]

This simplifies to:

[

x + 5 = 8

]

3. Then, subtract 5 from both sides to isolate ( x ):

[

x = 8 - 5

]

Thus:

[

x = 3

]

However, the choice mentioned states that the answer is -3. Checking through the prior steps and re-visiting the